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Elina [12.6K]
3 years ago
8

A sector of a circle has a central angle measuring 15 degrees and the radius of the circle measures 9 inches. What is the arc le

ngth of the sector? Express the answer in terms of Pi.
Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
StartFraction 3 over 8 EndFraction pi inches
Three-fourths pi inches
1 and StartFraction 3 over 8 EndFraction pi inches
1 and one-half pi inches

Mathematics
1 answer:
Kamila [148]3 years ago
5 0

Answer:

Arc length is \dfrac{3\pi }{4}\ \text{inches}

Step-by-step explanation:

We have,

Central angle is 15 degrees and the radius of the circle measures 9 inches.

It is required to find the arc length of the sector.

The relation between arc length and the central angle is given by :

\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{\theta}{360}

Circumference, C=2\pi r=18\pi

\theta=15^{\circ}

\dfrac{x}{18\pi }=\dfrac{15}{360}\\\\\dfrac{x}{18\pi }=\dfrac{1}{24}\\\\x=\dfrac{18\pi }{24}\\\\x=\dfrac{3\pi }{4}\ \text{inches}

Hence, the correct option is (b).

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How do you graph an equation using x and y intercepts.
Citrus2011 [14]

Answer:

I'm going to use the following as an example.

2x + 4y = 8

To find the y-intercept, set x equal to 0 then solve for y.

2(0) + 4y = 8

two times zero is zero, so we have the following equation.

4y = 8

Solve for y

\frac{4y}{4}  =  \frac{8}{4}  \\ y = 2

Your first point you will graph is (0, 2).

Now solve for the x intercept. To do this, set y = 0.

2x + 4(0) = 8

4(0) = 0, so you can remove it, and solve for x.

2x = 8

\frac{2x}{2}  =  \frac{8}{2}  \\ x = 4

Now the next point you have is (4, 0). plot that point. Connect the two points with a line and you are done.

5 0
3 years ago
What is the value of x?<br>23<br>35<br>58<br>93
katen-ka-za [31]
X is 35, if you follow the rules of alternate angles
4 0
3 years ago
Read 2 more answers
PLEASE HELP MEEEEEEE!!!!!
umka2103 [35]

Answer:

C  7ft/yr

Step-by-step explanation:

The given points are not all on the same line, so the average will vary depending on the interval of interest.

Over the interval [1, 11] years, the average rate of change of height is ...

  change in height / change in years = (80 -10)/(11 -1) = 70/10 = 7 . . . ft/yr

__

On the interval [11, 15] years, the average rate of change is ...

  (105 -80)/(15 -11) = 25/4 = 6.25 . . . ft/yr

Even on this interval, the closest answer choice is C.

8 0
4 years ago
What is the area of the drumhead on the drum shown below? Round to the nearest tenth
Harman [31]
There is no image posted. However, I will tell you how to solve for the area of a drum head.

Drum head is a circle shape. We will use the formula of finding the area of a circle to solve for the area of a drum head.

Area of a circle = π r²

π is pi. It is equivalent to 3.14. Though there are still a lot of numbers after 4. To ensure uniformity, π is 3.14

r is radius. It is the line from the center of the circle to the edge of a circle.

if the diameter of a circle is given, simply divide the diameter by 2 to get the radius. 

Diameter is the line that starts from one end of the circle to the other passing through the midpoint of the circle.

Example:
The drum head has a diameter of 10. What is the area.

diameter is given, so we need to get the radius: 10 ÷ 2 = 5

Area = π r²
        = 3.14 * 5²
        = 3.14 * 25
Area = 78.50 square unit

Area is always in a square unit. 
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4 years ago
Can anyone help me solve these please ?
Anton [14]

Answer:

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Step-by-step explanation:

after hours ;)

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